I live on the outskirts of Fort Worth. As far as the hunting goes, to hunt out in Texas it seems you have to hunt on ranch land or find someone that you know with enough acreage to hunt. It's not like AZ where you can go pick a unit that does not require a draw. Very few and limited gov' land available to "publicly" hunt.
The white tail out here are puny compared to the mule deer in AZ I've seen. Coyotes are easier (more abundant in AZ it seems, though I've called in two out here.) If you get lucky like I did and can hunt some good land for free, then it is pretty nice out here.
The beauty of the desert hunts just can't me matched though. The various terrain you can encounter in one hike in Arizona can be distracting to the hunt and making you wish you brought a Camera to capture the beauty.
Hogs are plentiful out here in spots and are shot quite often. My first month living in Texas we threw a hog on the pit, have yet to eat Javelina from AZ. I am just waiting to get a chance to Elk hunt with my father in Northern AZ. I grew up around Mesa, AZ.
I still believe the biggest deer live in Mississippi after seeing my uncle sending me pictures of his deer after each harvest.
EDIT: Forgot to add this, but I will always love hunting in Arizona, it would be my favorite pick. It has so much to offer that Arizona, along with Colorado are in a league of their own in some regards.